N. D. Gilbert, E. A. McDougall
Published 2014-02-19Version 1
We present a construction for the holomorph of an inverse semigroup, derived from the cartesian closed structure of the category of ordered groupoids. We compare the holomorph with the monoid of mappings that preserve the ternary heap operation on an inverse semigroup: for groups these two constructions coincide. We present detailed calculations for semilattices of groups and for the polycyclic monoids.
Relationships among quasivarieties induced by the min networks on inverse semigroups
Cohomology and extensions of ordered groupoids
Conjugacy in Semigroups: the Partition and Brauer Diagram Monoids, Conjugacy Growth, and Partial Inner Automorphisms
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